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10001420415 = 3257311676133
BaseRepresentation
bin10010101000010000…
…11001000001111111
3221211000102210120100
421110020121001333
5130440330423130
64332233052143
7502562446050
oct112410310177
927730383510
1010001420415
1142725a5208
121b31557053
13c35096b5c
146ac412727
153d808dc60
hex25421907f

10001420415 has 96 divisors (see below), whose sum is σ = 20577263616. Its totient is φ = 4397379840.

The previous prime is 10001420411. The next prime is 10001420417. The reversal of 10001420415 is 51402410001.

It is not a de Polignac number, because 10001420415 - 22 = 10001420411 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001420411) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1627689 + ... + 1633821.

It is an arithmetic number, because the mean of its divisors is an integer number (214346496).

Almost surely, 210001420415 is an apocalyptic number.

10001420415 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10001420415 is an abundant number, since it is smaller than the sum of its proper divisors (10575843201).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10001420415 is a wasteful number, since it uses less digits than its factorization.

10001420415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6349 (or 6346 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 10001420415 its reverse (51402410001), we get a palindrome (61403830416).

The spelling of 10001420415 in words is "ten billion, one million, four hundred twenty thousand, four hundred fifteen".

Divisors: 1 3 5 7 9 15 21 31 35 45 63 93 105 155 167 217 279 315 465 501 651 835 1085 1169 1395 1503 1953 2505 3255 3507 5177 5845 6133 7515 9765 10521 15531 17535 18399 25885 30665 36239 42931 46593 52605 55197 77655 91995 108717 128793 181195 190123 214655 232965 275985 326151 386379 543585 570369 643965 950615 1024211 1330861 1630755 1711107 1931895 2851845 3072633 3992583 5121055 6654305 7169477 8555535 9217899 11977749 15363165 19962915 21508431 31750541 35847385 46089495 59888745 64525293 95251623 107542155 158752705 222253787 285754869 322626465 476258115 666761361 1111268935 1428774345 2000284083 3333806805 10001420415